# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
631994 | s7mon | Travelling Merchant (APIO17_merchant) | C++14 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int N = 1e2 + 5;
const int K = 1e3 + 5;
const ll oo = 1e15;
int n, m, k;
ll buy[N][K], sell[N][K], d[N][N], c[N][N], f[N][N];
bool check(ll mid){
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= n; j ++){
f[i][j] = oo;
if ( i != j && d[i][j] != oo )
f[i][j] = min(f[i][j], -c[i][j]+mid*min(INF/mid, d[i][j]));
}
for (int t = 1; t <= n; t ++)
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= n; j ++)
f[i][j] = min(oo, min(f[i][j], f[i][t]+f[t][j]));
for (int i = 1; i <= n; i ++)
if ( f[i][i] <= 0 ) return true;
return false;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin >> n >> m >> k;
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= k; j ++)
cin >> buy[i][j] >> sell[i][j];
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= n; j ++)
if ( i == j ) d[i][j] = 0;
else d[i][j] = oo;
for (int i = 1; i <= m; i ++){
int u, v;
ll w;
cin >> u >> v >> w;
d[u][v] = w;
}
for (int t = 1; t <= n; t ++)
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= n; j ++)
d[i][j] = min(d[i][j], d[i][t]+d[t][j]);
for (int i = 1; i <= n; i ++)
for (int j = 1; j <= n; j ++) if ( i != j ){
for (int t = 1; t <= k; t ++) if ( buy[i][t] != -1 && sell[j][t] != -1 )
c[i][j] = max(c[i][j], sell[j][t]-buy[i][t]);
}
ll lo = 1, hi = 1e15, res = 0;
while ( lo <= hi ){
ll mid = ( lo + hi ) / 2;
if ( check(mid) ) res = mid, lo = mid + 1;
else hi = mid - 1;
}
cout << res;
return 0;
}